Heterotic string light-cone field theory

1987 ◽  
Vol 287 ◽  
pp. 1-60 ◽  
Author(s):  
David J. Gross ◽  
Vipul Periwal
Keyword(s):  
Field Theory ◽  
Light Cone ◽  
Heterotic String ◽  
Cone Field

scholarly journals SRB measures for partially hyperbolic attractors of local diffeomorphisms

2018 ◽  
Vol 40 (6) ◽  
pp. 1545-1593
Author(s):  
ANDERSON CRUZ ◽  
PAULO VARANDAS
Keyword(s):  
Thermodynamic Formalism ◽  
Positive Lebesgue Measure ◽  
Stable Bundle ◽  
Local Diffeomorphism ◽  
Local Diffeomorphisms ◽  
Axiom A ◽  
Srb Measures ◽  
Cone Field ◽  
Hyperbolic Attractors ◽  
Partially Hyperbolic

We contribute to the thermodynamic formalism of partially hyperbolic attractors for local diffeomorphisms admitting an invariant stable bundle and a positively invariant cone field with non-uniform cone expansion at a positive Lebesgue measure set of points. These include the case of attractors for Axiom A endomorphisms and partially hyperbolic endomorphisms derived from Anosov. We prove these attractors have finitely many SRB measures, that these are hyperbolic, and that the SRB measure is unique provided the dynamics is transitive. Moreover, we show that the SRB measures are statistically stable (in the weak$^{\ast }$ topology) and that their entropy varies continuously with respect to the local diffeomorphism.

scholarly journals Invariant cone and synchronization state stability of the mean field models

2018 ◽  
Vol 34 (3) ◽  
pp. 422-433 ◽  
Author(s):  
W. Oukil ◽  
Ph. Thieullen ◽  
A. Kessi
Keyword(s):  
Mean Field ◽  
Invariant Cone ◽  
Mean Field Models ◽  
The Mean

SU-E-J-109: Testing the KV Imaging Center Congruence with Radiation Isocenter of Small MLC and SRS Cone Field On Two Machines

2014 ◽  
Vol 41 (6Part8) ◽  
pp. 181-181
Author(s):  
Fu ◽  
Y Chen ◽  
Y Yu ◽  
H Liu
Keyword(s):  
Imaging Center ◽  
Cone Field ◽  
Two Machines

Lorentz symmetry in the light-cone field theory of open and closed strings

1989 ◽  
Vol 325 (1) ◽  
pp. 161-182 ◽  
Author(s):  
Yoshihiro Saitoh ◽  
Yoshiaki Tanii
Keyword(s):  
Field Theory ◽  
Light Cone ◽  
Lorentz Symmetry ◽  
Cone Field

Invariant cone-excitation ratios may predict transparency

2000 ◽  
Vol 17 (2) ◽  
pp. 255 ◽  
Author(s):  
Stephen Westland ◽  
Caterina Ripamonti
Keyword(s):  
Invariant Cone

On the propagation of weak shock waves

1956 ◽  
Vol 1 (3) ◽  
pp. 290-318 ◽  
Author(s):  
G. B. Whitham
Keyword(s):  
Supersonic Flow ◽  
Delta Wing ◽  
Thickness Distribution ◽  
Leading Edge ◽  
Weak Shock ◽  
Wave Drag ◽  
Main Step ◽  
Body Of Revolution ◽  
Flow Past ◽  
Cone Field

A method is presented for treating problems of the propagation and ultimate decay of the shocks produced by explosions and by bodies in supersonic flight. The theory is restricted to weak shocks, but is of quite general application within that limitation. In the author's earlier work on this subject (Whitham 1952), only problems having directional symmetry were considered; thus, steady supersonic flow past an axisymmetrical body was a typical example. The present paper extends the method to problems lacking such symmetry. The main step required in the extension is described in the introduction and the general theory is completed in §2; the remainder of the paper is devoted to applications of the theory in specific cases.First, in §3, the problem of the outward propagation of spherical shocks is reconsidered since it provides the simplest illustration of the ideas developed in §2. Then, in §4, the theory is applied to a model of an unsymmetrical explosion. In §5, a brief outline is given of the theory developed by Rao (1956) for the application to a supersonic projectile moving with varying speed and direction. Examples of steady supersonic flow past unsymmetrical bodies are discussed in §6 and 7. The first is the flow past a flat plate delta wing at small incidence to the stream, with leading edges swept inside the Mach cone; the results agree with those previously found by Lighthill (1949) in his work on shocks in cone field problems, and this provides a valuable check on the theory. The second application in steady supersonic flow is to the problem of a thin wing having a finite curved leading edge. It is found that in any given direction the shock from the leading edge ultimately decays exactly as for the bow shock on a body of revolution; the equivalent body of revolution for any direction is determined in terms of the thickness distribution of the wing and varies with the direction chosen. Finally in §8, the wave drag on the wing is calculated from the rate of dissipation of energy by the shocks. The drag is found to be the mean of the drags on the equivalent bodies of revolution for the different directions.

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